Simulation modelling is one way to determine the capacity of railway lines. The specialized software tool OpenTrack was used for simulation. The aim of this paper was to find out whether the OpenTrack simulation software can be used for the calculation of headway, and to compare the results with the methodology of the Railway Infrastructure Administration (SŽDC). Using the software tool, a detailed transport network model can be created including all its important characteristics. The simulation follows the movements and behaviour of trains with predefined parameters on the modelled railway line. OpenTrack allows for monitoring a range of parameters including not only train delays, train conflicts and train traffic flow, but also for instance train energy performance and headways. During the first stage of work with OpenTrack, a simulation model was created, not reflecting any existing infrastructure but including parameters typical of railway lines in the Czech Republic, such as the configuration of gridirons, length of station tracks, size of block sections, etc. This model was subsequently used for the simulation of type train set journeys, and a headway calculator was used for the calculation of headway values. These values were compared with the methodology used by the Railway Infrastructure Administration. The paper is concluded by the comparison of the above mentioned approaches.

This paper deals with railway lines with low traffic intensity where trains are operated under simplified conditions. Those conditions are stated in a regulation, and there is no interlocking system on the line. The whole railway operation is organized according to a regulation in cooperation with the train crew. For the calculation of the throughput, we can use analytic or simulation methods. On those lines there is a big problem with the common working methods because of special circumstances on each line, which are influencing the technological times and reliability of the calculation. The simplified conditions are the transforming of regular interlocking systems on the administrative level. Therefore, it is very complicated to use a common simulation model. Most of the simulation tools are not able to work with it. The motivation of this paper is to prove that modern simulation tools are usable for that specific condition as well. The simulation model was built in SW OpenTrack which is able to modify its functions to figure out each technological action to ensure the correct function of the model. This functionality is described in the paper in general and implemented on a case study.

Current business trends push transport companies to improve the efficiency of their entrepreneurial activities, what is closely related to costs reduction and revenues increase. Many transport companies achieve it empirically, but some mathematical algorithms, mainly from operational research, can be used to improve the efficiency of railway transport by finding the optimal solution of specific problems. The paper is focused on using of selected methods from applied mathematics in railway transport. These methods are used mainly for improving the operational efficiency of the transport company, what tends to decrease overall operating costs. Major impact is done by efficient use of railway vehicles and train staff. It can be achieved by optimization as a flow network problem or assignment problem, what is further described in the paper. Mathematical approaches can also positively influence the whole logistic process.

The last mile is characterized as the last step of delivery to the customer from the logistics point of view. It is necessary to aim and fulfill all customers’ needs mainly during the process of the last mile, because it is directly connected to them. Customer orientation can cause many complications that must be solved according to their will. This part of the supply chain is currently under pressure. Nowadays, trends have changed the last mile into a more ecological process mostly in the transport field. Railway transport is considered as an ecological transport mode therefore the last mile should be done by the railway transport. Preconditions for doing the last mile by the railway transport is the existence of siding (special purpose tracks) at the place of delivery. Our research focuses on minimizing the negative impacts of the last mile to customers in the context of using sidings. This research is based on the real conditions of the Slovak rail network, and on consultation with some experts from freight transport companies.

Using simulation in OpenTrack, this paper analyses the journey of type trainsets on model infrastructure in the line section Rokycany–Ejpovice–Plzeň hl. n. The aim of this paper is to assess the efficiency of increasing the track speed in this section. Analyzing the output characteristics of the simulation, selected indicators were assessed which influence the efficiency of further increases in track speed. One of the simulation scenarios is using the European Train Control System Level 2 (ETCS L2) system as the necessary condition of the speed over 160 km·h⁻¹.

Logistics is defined as an interdisciplinary science, which deals with coordination, harmonization, connection and optimization of material, product and service flows including flows of information and finance. The main aim of logistics is to satisfy needs of the customer with importance of quality aspect and optimal costs. The paper is focused on practical logistic problems within the company, its suppliers and customers so overall supply chain is analyzed there. The aim of the paper is to provide practical simulation and calculation of selected logistic examples such as procurement, storage and distribution on case studies. These logistic aspects are analyzed in way, how are they explained to students in university educational process on school subjects that deal with logistics in some case. The simulation of storage process is done with specialized software called Byron, which is also used for educational purposes.